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Finding the Fourth Proportional to 83,782.77, 125,763.68 and 33,895.47

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Solution

The fourth proportional to 83,782.77, 125,763.68 and 33,895.47 is: 50,879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,782.77 : 125,763.68 = 33,895.47 : x
  2. Step 2: Convert to fraction form
    83,782.77/125,763.68 = 33,895.47/x
  3. Step 3: Cross multiply
    83,782.77x = 125,763.68 × 33,895.47
  4. Step 4: Simplify right side
    83,782.77x = 4,262,818,873.05
  5. Step 5: Solve for x
    x = 4,262,818,873.05/83,782.77
  6. Step 6: Final answer
    x = 50,879.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.